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Finding the Third Proportional to 341,894.25 and 743,991.38

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Solution

The third proportional to 341,894.25 and 743,991.38 is: 1,618,989.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,894.25 : 743,991.38 = 743,991.38 : x
  2. Step 2: Convert to fraction form
    341,894.25/743,991.38 = 743,991.38/x
  3. Step 3: Cross multiply
    341,894.25x = 743,991.38 × 743,991.38
  4. Step 4: Simplify right side
    341,894.25x = 553,523,166,074.39
  5. Step 5: Solve for x
    x = 553,523,166,074.39/341,894.25
  6. Step 6: Final answer
    x = 1,618,989.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.